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On starting conditions for a submerged sink in a fluid
Citation
Forbes, LK and Hocking, GC and Stokes, TE, On starting conditions for a submerged sink in a fluid, Journal of Engineering Mathematics, 61, (1) pp. 55-68. ISSN 0022-0833 (2008) [Refereed Article]
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Copyright Statement
The original publication is available at www.springerlink.com
Official URL: http://www.springerlink.com
DOI: doi:10.1007/s10665-007-9174-2
Abstract
Withdrawal of a fluid through an isolated line sink (for planar flow) or a point sink (for axi-symmetric
flow in three dimensions) is considered. A linearized solution is presented in both cases, under the assumption that
the sink strength is small and the sink is turned on gradually. The results show that the behaviour for small times
is as if an image source were present above the surface. Asymptotic results indicate that, in both cases, the flow
rapidly develops an effective image sink above the free surface.
Item Details
| Item Type: | Refereed Article |
|---|---|
| Keywords: | Asymptotic behaviour · Heuristic derivation · Linearized solution · Method of stationary phase · Withdrawal flows |
| Research Division: | Mathematical Sciences |
| Research Group: | Applied mathematics |
| Research Field: | Theoretical and applied mechanics |
| Objective Division: | Expanding Knowledge |
| Objective Group: | Expanding knowledge |
| Objective Field: | Expanding knowledge in the physical sciences |
| UTAS Author: | Forbes, LK (Professor Larry Forbes) |
| ID Code: | 52293 |
| Year Published: | 2008 |
| Funding Support: | Australian Research Council (DP0450225) |
| Web of Science® Times Cited: | 3 |
| Deposited By: | Mathematics |
| Deposited On: | 2008-06-17 |
| Last Modified: | 2015-01-27 |
| Downloads: | 0 |
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